A remark on the scattering theory for the 2d radial focusing INLS

Chengbin Xu; Tengfei Zhao

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arXiv · 1908.00743

A remark on the scattering theory for the 2d radial focusing INLS

Chengbin Xu·Tengfei Zhao

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Abstract

We consider the scattering results of the radial solutions below the ground state to the focusing inhomogeneous nonlinear Schr\"odinger equation $$i\partial_tu+\Delta u +|x|^{-b}|u|^{p}u=0$$ in two dimension, where $0<b<1$ and $2-b<p<\infty$. We use a modified version of Arora-Dodson-Murphy's approach [1] to give a new proof that extends the scattering results of [10] and avoids concentration compactness.

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Chengbin Xu, Tengfei Zhao. 2019-08-02. A remark on the scattering theory for the 2d radial focusing INLS. https://arxiv.org/abs/1908.00743

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